IDNLearn.com is the perfect place to get answers, share knowledge, and learn new things. Find the answers you need quickly and accurately with help from our knowledgeable and dedicated community members.
Sagot :
Step-by-step explanation:
this creates a right-angled triangle with the flagpole and the shadow being the 2 legs, and the distance top of flagpole to the end of the shadow is the Hypotenuse.
per Pythagoras we have then
Hypotenuse² = 76² + 60² = 5776 + 3600 = 9376
Hypotenuse = 96.8297475... ft
now, per law of sine
a/sinA = b/sinB = c/sinC
with a, b, c being the sides of the triangle, A, B, C being the corresponding opposite angles,
we have
flagpole length/sin(bottom right angle = angle of elevation) = Hypotenuse / sin(90°).
sin(90°) = 1
so,
76/sin(angle of elevation) = 96.8297475.../1
sin(angle of elevation) = 76/96.8297475... =
= 0.784882766...
angle of elevation = 51.70983681...° ≈ 51.7°
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.